What is the Least Common Multiple of 94671 and 94687?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 94671 and 94687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94671 and 94687, than apply into the LCM equation.

GCF(94671,94687) = 1
LCM(94671,94687) = ( 94671 × 94687) / 1
LCM(94671,94687) = 8964112977 / 1
LCM(94671,94687) = 8964112977

Least Common Multiple (LCM) of 94671 and 94687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94671 and 94687. First we will calculate the prime factors of 94671 and 94687.

Prime Factorization of 94671

Prime Factorization of 94687

Now multiplying the highest exponent prime factors to calculate the LCM of 94671 and 94687.

LCM(94671,94687) = 3² × 67¹ × 157¹ × 94687¹
LCM(94671,94687) = 8964112977